Answer:
c
Step-by-step explanation:
100% sure and correct :) ❤️
Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
= 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
= 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
= 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
Answer:
D. 2 1/4 total number of cups of cereals
Step-by-step explanation:
The question lacks diagram. Find the diagram in the attachment.
The total number of cups of cereals that shyanne ate in the 5 days will be individual sum of the fractions of cereals ate during day 2, 3 and 4. X shows the number of times she ate cereal each day.
Day 0 = 0 (she doesn't eat cereal during this day)
Day 1 = 1/4 + 1/4 = 1/2 cup of cereal (X appeared twice). She ate 1/4 cups of cereals twice this day.
Day 2 = 2/4 + 2/4 = 1 cup of cereal (X appeared twice). She ate 2/4 cups of cereals twice this day.
Day 3 = 3/4 cup of cereal (X appeared once). She ate 3/4 cup of cereals once this day.
Day 4 = no cup of cereal was eaten.
Total cups of cereal for the 5days= 0+1/2+1+3/4+0
= 3/2+3/4
= (6+3)/4
= 9/4
= 2 1/4
= 2 1/4 cups of cereal.